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Ensembles de Rosenthal et propriété de Radon-Nikodym relative

Ensembles de Rosenthal et propriété de Radon-Nikodym relative

Let G be a metrizable compact abelian group, Γ its dual group and let Λ⊂Γ be a Rosenthal set. We show that L Λ ∞ (G,Y * )=C Λ (G,Y * ) whenever Y * is a Banach space with Radon-Nikodym property and C Λ (G,Y * ) is weakly …